Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
37901	Write in Standard Form	x^4+3x^3-x+7	$x^{4} + 3 x^{3} - x + 7$
37902	Simplify the Radical Expression	sixth root of 1/(w^-6*w^4)	$\sqrt[6]{\frac{1}{w^{- 6} \cdot w^{4}}}$
37903	Solve for x	-5+(x+7)/(3x)=-7/3	$- 5 + \frac{x + 7}{3 x} = \frac{- 7}{3}$
37904	Write in Standard Form	y=-x/3+2/3	$y = - \frac{x}{3} + \frac{2}{3}$
37905	Find the Derivative - d/dy	yx^(y-1)	$y x^{y - 1}$
37906	Solve the System of Equations	1/5x-1/4y=3 2/5x+1/2y=3	$\frac{1}{5} x - \frac{1}{4} y = 3$ $\frac{2}{5} x + \frac{1}{2} y = 3$
37907	Simplify	(10^310^-510^10)/(10^6)	$\frac{10^{3} \cdot 10^{- 5} \cdot 10^{10}}{10^{6}}$
37908	Evaluate	4(-2+y)-2y	$4 (- 2 + y) - 2 y$
37909	Graph	x<2 or x>4	$x < 2$ or $x > 4$
37910	Simplify	((2x)/(3y-1))^2	${(\frac{2 x}{3 y - 1})}^{2}$
37911	Solve using Gaussian Elimination	x-y+2z=2 2y-4z=8 -x+4z=-10	$x - y + 2 z = 2$ $2 y - 4 z = 8$ $- x + 4 z = - 10$
37912	Factor	1+9x^4+6x^2	$1 + 9 x^{4} + 6 x^{2}$
37913	Solve for x	x=3 log of y^2	$x = 3 \log (y^{2})$
37914	Graph	y+2>x	$y + 2 > x$
37915	Evaluate	0.25-1.125-16/8	$0.25 - 1.125 - \frac{16}{8}$
37916	Combine Like Terms	2x+2y-2x+y	$2 x + 2 y - 2 x + y$
37917	Write in Slope-Intercept Form	(3,4) and (-6,-2)	$(3, 4)$ and $(- 6, - 2)$
37918	Find the Domain	f(x)=1/( square root of 5x^2+14x-3)	$f (x) = \frac{1}{\sqrt{5 x^{2} + 14 x - 3}}$
37919	Solve for p	(3p)/4=2/5	$\frac{3 p}{4} = \frac{2}{5}$
37920	Simplify	(2x-11x^2+14)+(7x^2-x+3)	$(2 x - 11 x^{2} + 14) + (7 x^{2} - x + 3)$
37921	Solve for k	(714.0*1/760)(0.399)=(0.4270/k)(0.0821)(300.1)	$(714 \times \frac{1}{760}) (0.399) = (\frac{0.427}{k}) (0.0821) (300.1)$
37922	Solve for t	x=1/2cos(2t+1)	$x = \frac{1}{2} \cos (2 t + 1)$
37923	Convert to Interval Notation	2x+1<=-6 or 2x+1>=6	$2 x + 1 \leq - 6$ or $2 x + 1 \geq 6$
37924	Simplify	(2y)^3(-2x^-1)^2(3y^4)	${(2 y)}^{3} {(- 2 x^{- 1})}^{2} (3 y^{4})$
37925	Find the GCF	38(a^3+a^3b) , 57a(1+b)^2 , 76a^4(1+b)^3	$38 (a^{3} + a^{3} b)$ , $57 a {(1 + b)}^{2}$ , $76 a^{4} {(1 + b)}^{3}$
37926	Evaluate the Integral	integral of ( natural log of x) with respect to x	$\int (\ln (x)) d x$
37927	Solve the Function Operation	3x+y=0 , x>=0	$3 x + y = 0$ , $x \geq 0$
37928	Find the Exact Value	sin(165)*sin(15)	$\sin (165) \cdot \sin (15)$
37929	Evaluate the Integral	integral from 0 to 1 of e^(1-2x) with respect to x	$\int_{0}^{1} e^{1 - 2 x} d x$
37930	Add	-4 square root of 3+ square root of 48	$- 4 \sqrt{3} + \sqrt{48}$
37931	Simplify	5÷(3+ square root of 5)	$5 \div (3 + \sqrt{5})$
37932	Solve by Substitution	y+16x-22=4x^2 4x^2-24x+26+y=0	$y + 16 x - 22 = 4 x^{2}$ $4 x^{2} - 24 x + 26 + y = 0$
37933	Simplify	4^26^38^0	$4^{2} \cdot 6^{3} \cdot 8^{0}$
37934	Find the Derivative - d/dx	D_x(3^(3x^2))	$D_{x} (3^{3 x^{2}})$
37935	Solve for r	r = square root of S/12.6	$r = \sqrt{\frac{S}{12.6}}$
37936	Solve for x	square root of 4+x=-2-x	$\sqrt{4 + x} = - 2 - x$
37937	Find the x and y Intercepts	x=1/2	$x = \frac{1}{2}$
37938	Solve for y	x=1/3yz^2+4	$x = \frac{1}{3} y z^{2} + 4$
37939	Convert to a Decimal	300deg to rad	$300$ degrees to radians
37940	Simplify	(2x^2+9-5x^2)-(-6x^2+5)	$(2 x^{2} + 9 - 5 x^{2}) - (- 6 x^{2} + 5)$
37941	Solve for x	square root of 10x=3 square root of x+1	$\sqrt{10 x} = 3 \sqrt{x + 1}$
37942	Evaluate	3/(2(3)^(1/2))	$\frac{3}{2 {(3)}^{\frac{1}{2}}}$
37943	Solve for x	a=b+ square root of x	$a = b + \sqrt{x}$
37944	Solve the System of Equations	y=6x y=5x+7	$y = 6 x$ $y = 5 x + 7$
37945	Find dy/dx	y=sin(8-9x)	$y = \sin (8 - 9 x)$
37946	Find Where Increasing/Decreasing	Let h(x)=-x^3+3x^2+9	Let $h (x) = - x^{3} + 3 x^{2} + 9$
37947	Solve the Inequality for x	4x^2+9x<=x-3	$4 x^{2} + 9 x \leq x - 3$
37948	Multiply	1/2*pi/2	$\frac{1}{2} \cdot \frac{π}{2}$
37949	Solve for x	e^xe^(x+1)=1	$e^{x} e^{x + 1} = 1$
37950	Solve Using the Square Root Property	2(x-7)^2=2	$2 {(x - 7)}^{2} = 2$
37951	Simplify	2x+4-2/3+x	$2 x + 4 - \frac{2}{3} + x$
37952	Find the Antiderivative	square root of x^2+4	$\sqrt{x^{2} + 4}$
37953	Simplify	Simplify the expression (6^2)^4	Simplify the expression ${(6^{2})}^{4}$
37954	Find dy/dx	y = natural log of x+y	$y = \ln (x + y)$
37955	Find the Roots (Zeros)	P(x)=8x^5-14x^4-22x^3+57x^2-35x+6	$P (x) = 8 x^{5} - 14 x^{4} - 22 x^{3} + 57 x^{2} - 35 x + 6$
37956	Simplify	x/(x^2-1)-2/(x+1)	$\frac{x}{x^{2} - 1} - \frac{2}{x + 1}$
37957	Find the Derivative - d/dx	d/(dx)x/2	$\frac{d}{d x} \cdot \frac{x}{2}$
37958	Solve for m	4/5=(m-7)/10	$\frac{4}{5} = \frac{m - 7}{10}$
37959	Expand the Logarithmic Expression	log base 9 of ((6^5)/((5)(11)))^4	$\log_{9} ({(\frac{6^{5}}{(5) (11)})}^{4})$
37960	Combine Like Terms	8n+4n^2-8n	$8 n + 4 n^{2} - 8 n$
37961	Simplify	(x^3+7x^2-4x-28)/(2x^2-3x-2)	$\frac{x^{3} + 7 x^{2} - 4 x - 28}{2 x^{2} - 3 x - 2}$
37962	Simplify	3 fourth root of 256- cube root of 64+ square root of 169	$3 \sqrt[4]{256} - \sqrt[3]{64} + \sqrt{169}$
37963	Evaluate	(4e^(-2x))^3	${(4 e^{- 2 x})}^{3}$
37964	Find the Slope	(4,-9) and (4,-10)	$(4, - 9)$ and $(4, - 10)$
37965	Find the Slope	(13,4) and (6,-10)	$(13, 4)$ and $(6, - 10)$
37966	Solve for x	(x^2-3)^(1/2)-(x+3)^(1/2)=0	${(x^{2} - 3)}^{\frac{1}{2}} - {(x + 3)}^{\frac{1}{2}} = 0$
37967	Solve for b	a=b-3c	$a = b - 3 c$
37968	Simplify	3/( square root of 2+1)	$\frac{3}{\sqrt{2 + 1}}$
37969	Factor	4x^(3/2)(x^3+x^2)-6x^(5/2)-6x^(3/2)	$4 x^{\frac{3}{2}} (x^{3} + x^{2}) - 6 x^{\frac{5}{2}} - 6 x^{\frac{3}{2}}$
37970	Simplify	((a^2b^-4)/(b^2))^5	${(\frac{a^{2} b^{- 4}}{b^{2}})}^{5}$
37971	Solve the Function Operation	f(x)=(7-8x)^2 ; find f^-1	$f (x) = {(7 - 8 x)}^{2}$ ; find $f^{- 1}$
37972	Find the Second Derivative	y=-1/5x^-4+1/10+3/2x^2+2/3x^6	$y = - \frac{1}{5} x^{- 4} + \frac{1}{10} + \frac{3}{2} x^{2} + \frac{2}{3} x^{6}$
37973	Evaluate the Limit	limit as t approaches infinity of 1/(sin(x))-(x)^-1	$lim_{t \to \infty} \frac{1}{\sin (x)} - {(x)}^{- 1}$
37974	Find the Slope	2x+3	$2 x + 3$
37975	Graph	\|x\|<=3 \|y\|<=4	$\| x \| \leq 3$ $\| y \| \leq 4$
37976	Graph Using a Table of Values	f(x)=1/2x+3	$f (x) = \frac{1}{2} x + 3$
37977	Find the Exact Value	arccot(cot((5pi)/4))	$arccot (\cot (\frac{5 π}{4}))$
37978	Factor	2sin(x)^2+sin(x)-1=0	$2 \sin^{2} (x) + \sin (x) - 1 = 0$
37979	Add	square root of 3+ square root of 5-4 square root of 3+6 square root of 5	$\sqrt{3} + \sqrt{5} - 4 \sqrt{3} + 6 \sqrt{5}$
37980	Find the Vertex	f(x)=0.1(x-3.2)^2	$f (x) = 0.1 {(x - 3.2)}^{2}$
37981	Find the Domain and Range	y=-3sin(x/3)	$y = - 3 \sin (\frac{x}{3})$
37982	Evaluate Using L'Hospital's Rule	limit as x approaches 3 of (3 natural log of 4-x)/(x-3)	$lim_{x \to 3} \frac{3 \ln (4 - x)}{x - 3}$
37983	Evaluate	25% of 32	$25 %$ of $32$
37984	Solve the Inequality for g	-6g+3g+12>-18	$- 6 g + 3 g + 12 > - 18$
37985	Evaluate Using L'Hospital's Rule	limit as x approaches -2 of ( natural log of -1-x)/(e^(x+2)-1)	$lim_{x \to - 2} \frac{\ln (- 1 - x)}{e^{x + 2} - 1}$
37986	Solve for n	n-8/9=4/9	$n - \frac{8}{9} = \frac{4}{9}$
37987	Divide Using Long Polynomial Division	(2x^5+5x^3)/x	$\frac{2 x^{5} + 5 x^{3}}{x}$
37988	Solve for x	log of square root of x = square root of log of x	$\log (\sqrt{x}) = \sqrt{\log (x)}$
37989	Convert from Degrees to Radians	arccot(cot((5pi)/4))	$arccot (\cot (\frac{5 π}{4}))$
37990	Simplify	(x^3y^4z)^3(x^5y*z^3)^2	${(x^{3} \cdot y^{4} \cdot z)}^{3} \cdot {(x^{5} \cdot y \cdot z^{3})}^{2}$
37991	Evaluate the Integral	integral from -4 to -1 of pi/2 with respect to theta	$\int_{- 4}^{- 1} \frac{π}{2} d θ$
37992	Solve for x	2(x-1)^(1/2)=(26+x)^(1/2)	$2 {(x - 1)}^{\frac{1}{2}} = {(26 + x)}^{\frac{1}{2}}$
37993	Evaluate	arccot(cot((5pi)/4))	$arccot (\cot (\frac{5 π}{4}))$
37994	Solve for b	-5/6(8+5b)=75+5/3b	$- \frac{5}{6} (8 + 5 b) = 75 + \frac{5}{3} b$
37995	Solve for c	92=2+10c^2	$92 = 2 + 10 c^{2}$
37996	Solve the Inequality for x	-x<=3/2+3/2(-2x-10)	$- x \leq \frac{3}{2} + \frac{3}{2} (- 2 x - 10)$
37997	Find the Domain	x/( square root of 1-x)	$\frac{x}{\sqrt{1 - x}}$
37998	Find the Second Derivative	f(x)=3/20x^-4+x^5+1/3x^3+x^2	$f (x) = \frac{3}{20} x^{- 4} + x^{5} + \frac{1}{3} x^{3} + x^{2}$
37999	Solve the Inequality for z	4z-4-2z>8-6	$4 z - 4 - 2 z > 8 - 6$
38000	Solve for y	x=2(2y-8)	$x = 2 (2 y - 8)$